+0  
 
0
41
1
avatar

Let

f(x) = ax + 3 if x > 0

f(x) = ab if x = 0

f(x) = bx + c if x < 0

 

If f(2) = 5, f(0) = 2, and f(-2) = 0, and a, b, and c are nonnegative integers, then what is a + b + c?

 Jun 18, 2021

Best Answer 

 #1
avatar+33360 
+2

for f(2)   the piece    ax + 3    applies since  2 is > 0

           f(2) = a(2)+3 = 5

                    so   a  =1

 

for f(0)    the second piece applies because x = 0

                  f(0) = ab = 2       we know a = 1    so  b = 2

 

for f(-2)     the third piece applies since   -2 <0

                      f(-2) = bx+c = 0

                                 2 (-2) + c = 0       so c = 4                  I'll let you finish !

 Jun 18, 2021
 #1
avatar+33360 
+2
Best Answer

for f(2)   the piece    ax + 3    applies since  2 is > 0

           f(2) = a(2)+3 = 5

                    so   a  =1

 

for f(0)    the second piece applies because x = 0

                  f(0) = ab = 2       we know a = 1    so  b = 2

 

for f(-2)     the third piece applies since   -2 <0

                      f(-2) = bx+c = 0

                                 2 (-2) + c = 0       so c = 4                  I'll let you finish !

ElectricPavlov Jun 18, 2021

6 Online Users

avatar